Solving Optimization Problems Using an Extended Gradient-Based Optimizer

Ahmed A. Ewees ()
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Ahmed A. Ewees: College of Computing and Information Technology, University of Bisha, Bisha 61922, Saudi Arabia

Mathematics, 2023, vol. 11, issue 2, 1-15

Abstract: This paper proposes an improved method for solving diverse optimization problems called EGBO. The EGBO stands for the extended gradient-based optimizer, which improves the local search of the standard version of the gradient-based optimizer (GBO) using expanded and narrowed exploration behaviors. This improvement aims to increase the ability of the GBO to explore a wide area in the search domain for the giving problems. In this regard, the local escaping operator of the GBO is modified to apply the expanded and narrowed exploration behaviors. The effectiveness of the EGBO is evaluated using global optimization functions, namely CEC2019 and twelve benchmark feature selection datasets. The results are analyzed and compared to a set of well-known optimization methods using six performance measures, such as the fitness function’s average, minimum, maximum, and standard deviations, and the computation time. The EGBO shows promising results in terms of performance measures, solving global optimization problems, recording highlight accuracies when selecting significant features, and outperforming the compared methods and the standard version of the GBO.

Keywords: feature selection; global optimization; gradient-based optimizer; Lévy flight (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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